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Finding the Third Proportional to 463,370 and 740,019

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Solution

The third proportional to 463,370 and 740,019 is: 1,181,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,370 : 740,019 = 740,019 : x
  2. Step 2: Convert to fraction form
    463,370/740,019 = 740,019/x
  3. Step 3: Cross multiply
    463,370x = 740,019 × 740,019
  4. Step 4: Simplify right side
    463,370x = 547,628,120,361
  5. Step 5: Solve for x
    x = 547,628,120,361/463,370
  6. Step 6: Final answer
    x = 1,181,837.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.